Question

Use the following information for questions 17 to 26 Egon Spengler is planning a charity benefit gala for his "Save the City" campaign. However, because one of his partners, Peter Venkman, has difficulty staying on task, the project is scheduled and they are running out of time. Egon has used project management principles to lay out the task relationships and he finds that if they follow the traditional schedule, as outlined below, they will not have enough time to get everything done before the weekend of the gala. Egon has created a list of tasks, their time requirements, and their relationships. He has also begun a network diagram, but needs to know what to do next. He knows that he needs to reduce the total time by three weeks.

Answer 1

The critical path is the path which takes longest time to complete the project. Following is the calculation of critical path

A-B-D-G-J - 23

A-B-C-E-H-J - 30

A-B-C-E-I-J - 31 -----> Critical path

A-B-C-F-J - 27

A-B-C-E-I-J is a critical path because it takes maximum time to complete project.

a) Following is the calculation of slack

Task Predecessor Early Start DurationEarly Finish Late Finish Late Start Slaclk 12 19 18 25 26 12 19 19 26 26 12 12 12 19 19 18 13 19 18 2б 25 30 30 30 25 31 31 H, I, F, G

Early Finish = Early Start + Duration

= 12 + 6

= 18

Late Finish = Early finish of Predecessor (Max time)

= 19

Slack = Late Finish - Early finish

= 19 - 18

= 1

The slack time of the activity D is 1

Following is the calculation of crashing project

Difference Crashing Time Optimal Duration Crashing (week) Activity (1) (2)Cost (4 Crashed Project Cost (Weeks) (week) (Week) 6 1,020 980 1,500 630 700 550 690 1,150 980 6 630 4 4 0 Total Cost 2,510.00

A-B-C-E-I-J is a critical path because it takes maximum time to complete project. Therefore, crashing of the project will be done for this path.

b) From the above table, the minimum completion time for the project after crashing is 31 - 3 = 28 weeks.

c) If the company has the budget of $2,000, then minimum completion of the project will be 31 - 2 = 29 weeks.

Difference Crashing Time Optimal Duration Crashing Activity (1) (2)Cost (4 Crashed Project Cost (Weeks) (week) (week) (Week) 6 1,020 980 1,500 630 700 550 690 1,150 6 630 Total Cost $ 1,530.00

d) The total cost for crashing the project is 900 + 980 + 630 = $2,510

e) Crashing the last week cost $630 (Activity E)